Of course rwm's W-wing is the the optimal path for this puzzle.Let me try a technique already known, but new for me.Basics to 371. Oddagon (aka broken wing) (7)b6,g6,g1,c1,c5 with 4 guardians 7a6,7ab5,7c2 (at least one must be TRUE):||(7-6)a6=(6)a78-6c9||(7)ab5-(7=6)b6-a6=(6)a78-6c9||(7)c2-(7=6)c1-6c9=&GT;-6c9; singles to 81